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arXiv · 2512.03391

From n-systems to Lie and Courant algebroids

Liqiang Cai·Zhuo Chen·Zhixiong Chen·Yanhui Bi
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Abstract

This paper introduces a method for constructing pure algebroids, dull algebroids, and Lie algebroids. The construction relies on what we deffned as n-systems on vector bundles, and we provide explicit computations for all resulting structure maps. Analogously, metric n-systems deffned on metric vector bundles allow us to construct metric algebroids, pre-Courant algebroids, and Courant algebroids.

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Liqiang Cai, Zhuo Chen, Zhixiong Chen, Yanhui Bi. 2025-12-03. From n-systems to Lie and Courant algebroids. https://arxiv.org/abs/2512.03391

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